B. Girard

collaborators

3 papers

math.NT2026

The Davenport constant of an interval: a proof that $D = I ¨ $

Benjamin Girard, Alain Plagne

For two positive integers $m$ and $M$ , we study the Davenport constant of the interval of integers $[[- m, M]]$ , that is the maximal length of a minimal zero-sum sequence compo…

math.CO2025

The ErdÅs-Ginzburg-Ziv constant of rank-two-like $p$ -groups

Benjamin Girard, Sofia Zotova

Adapting Reiher's proof of Kemnitz's conjecture, we obtain two refinements of a theorem of Schmid and Zhuang. Our main results provide improved upper bounds for the ErdÅs-Ginzburg…

math.NT2025

The Davenport constant of balls and boxes

Benjamin Girard, Alain Plagne

Given an additively written abelian group $G$ and a set $X \subseteq G$ , we let $D (X)$ denote the Davenport constant of $X$ , namely the largest non-negative integer $n$ for…

The Davenport constant of an interval: a proof that D=I¨

The ErdÅs-Ginzburg-Ziv constant of rank-two-like p-groups

The Davenport constant of balls and boxes

The Davenport constant of an interval: a proof that $D = I ¨ $

The ErdÅs-Ginzburg-Ziv constant of rank-two-like $p$ -groups